17 Decimal To Binary

3 min read Jul 18, 2024
17 Decimal To Binary

Converting 17 to Binary

In this article, we will discuss how to convert the decimal number 17 to its binary equivalent.

What is Decimal?

Decimal is a base-10 number system that uses ten digits from 0 to 9 to represent numbers. It is the most commonly used number system in everyday life.

What is Binary?

Binary is a base-2 number system that uses two digits, 0 and 1, to represent numbers. It is the language of computers and is used to represent information in computer systems.

Converting 17 to Binary

To convert the decimal number 17 to binary, we can use the following steps:

Step 1: Divide 17 by 2

17 ÷ 2 = 8 with a remainder of 1

Step 2: Divide 8 by 2

8 ÷ 2 = 4 with a remainder of 0

Step 3: Divide 4 by 2

4 ÷ 2 = 2 with a remainder of 0

Step 4: Divide 2 by 2

2 ÷ 2 = 1 with a remainder of 0

Step 5: Divide 1 by 2

1 ÷ 2 = 0 with a remainder of 1

Now, let's read the remainders in reverse order to get the binary equivalent of 17:

10001

Therefore, the binary equivalent of the decimal number 17 is 10001.

Conclusion

In this article, we have learned how to convert the decimal number 17 to its binary equivalent using the division method. The binary equivalent of 17 is 10001. Understanding binary numbers is essential in computer science and programming, and we hope this article has helped you in mastering this fundamental concept.

Featured Posts